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Bool

Boolp

Recognizer for bool structures.

Signature
(boolp x) → *

Definitions and Theorems

Function: boolp

(defun boolp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'boolp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :bool)
         (true-listp (cdr x))
         (eql (len (cdr x)) 1)
         (b* ((get (std::da-nth 0 (cdr x))))
           (booleanp get)))))

Theorem: consp-when-boolp

(defthm consp-when-boolp
  (implies (boolp x) (consp x))
  :rule-classes :compound-recognizer)